4(2x-7)+1=37

Solution for 4(2x-7)+1=37 equation:

Simplifying
4(2x + -7) + 1 = 37

Reorder the terms:
4(-7 + 2x) + 1 = 37
(-7 * 4 + 2x * 4) + 1 = 37
(-28 + 8x) + 1 = 37

Reorder the terms:
-28 + 1 + 8x = 37

Combine like terms: -28 + 1 = -27
-27 + 8x = 37

Solving
-27 + 8x = 37

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '27' to each side of the equation.
-27 + 27 + 8x = 37 + 27

Combine like terms: -27 + 27 = 0
0 + 8x = 37 + 27
8x = 37 + 27

Combine like terms: 37 + 27 = 64
8x = 64

Divide each side by '8'.
x = 8

Simplifying
x = 8